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dc.contributor.authorFerrás, L.L.
dc.contributor.authorMorgado, M.L.
dc.contributor.authorRebelo, M.
dc.contributor.authorMcKinley, Gareth H
dc.contributor.authorAfonso, A.M.
dc.date.accessioned2020-10-02T23:08:06Z
dc.date.available2020-10-02T23:08:06Z
dc.date.issued2019-06
dc.date.submitted2019-04
dc.identifier.issn1873-2631
dc.identifier.urihttps://hdl.handle.net/1721.1/127803
dc.description.abstractIn this work we propose a novel generalised form of the Phan–Thien and Tanner (PTT) model by considering a new functional form of the nonlinear expression characterizing the destruction of physical network junctions and entanglements. This new function of the trace of the stress tensor is given by the generalized Mittag–Leffler function, and contains the familiar exponential form of the original Phan–Thien and Tanner model as a limiting case, but affords additional fitting flexibility through the inclusion of one or two additional fitting constants. We perform fits to experimental data in shear and extension and show that this generalized expression allows a better description of the rheological responses for a range of complex materials such as polymer melts and semidilute polymer solutions. By using an appropriate information criterion, we also demonstrate that the resulting generelized model remains parsimonious but provides improved fits of real world data. ©2019 The Authorsen_US
dc.description.sponsorshipFEDER funds COMPETE2020 - Project PTDC/EMS-ENE/3362/2014en_US
dc.description.sponsorshipFEDER funds COMPETE2020 - POCI-01-0145-FEDER-016665en_US
dc.description.sponsorshipFCT - SFRH/BPD/100353/2014en_US
dc.description.sponsorshipFCT - (UID-MAT-00013/2013)en_US
dc.description.sponsorshipFCT - (UID/Multi/04621/2019) - CEMAT/IST-IDen_US
dc.description.sponsorshipPortuguese Foundation for Science and Technology - (project UID/MAT/00297/2019) - Centro de Matemática e Aplicaçõesen_US
dc.language.isoen
dc.publisherElsevier BVen_US
dc.relation.isversionofhttps://dx.doi.org/10.1016/J.JNNFM.2019.06.001en_US
dc.rightsCreative Commons Attribution 4.0 International licenseen_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.sourceElsevieren_US
dc.titleA generalised Phan–Thien—Tanner modelen_US
dc.typeArticleen_US
dc.identifier.citationFerrás, L.L. et al., "A generalised Phan–Thien—Tanner model." Journal of Non-Newtonian Fluid Mechanics 269 (July 2019): 88-99 doi. 10.1016/j.jnnfm.2019.06.001 ©2019 Authorsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineeringen_US
dc.relation.journalJournal of Non-Newtonian Fluid Mechanicsen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2020-07-31T12:05:06Z
dspace.date.submission2020-07-31T12:05:09Z
mit.journal.volume269en_US
mit.licensePUBLISHER_CC


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